Theorems · Theorem · order theory
Multiset.le_prod_of_mem
∀ {α : Type u_2} [inst : CommMonoid α] {m : Multiset α} {a : α},
a ∈ m → ∀ [inst_1 : Preorder α] [CanonicallyOrderedMul α], a ≤ m.prod- Cited by
- 0 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Quot.sound
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Preorderstatement and proof · cited by 7,952
- Multisetstatement and proof · cited by 2,627
- CommMonoidstatement and proof · cited by 2,264
- le_reflproof · cited by 2,061
- Multiset.prodstatement · cited by 528
- Multiset.consproof · cited by 313
- Multiset.prod_consproof · cited by 68
- CanonicallyOrderedMulstatement and proof · cited by 51
- Multiset.exists_cons_of_memproof · cited by 15
- le_mul_rightproof · cited by 1
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